{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " # MSTDPET example using PySNN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from pysnn.network import SNNNetwork\n",
    "from pysnn.connection import Linear\n",
    "from pysnn.neuron import LIFNeuron\n",
    "from pysnn.learning import MSTDPET"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " ## Parameters used during simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "inputs = 1\n",
    "outputs = 1\n",
    "c_shape = (inputs, outputs)\n",
    "dt = 1\n",
    "alpha_v = 0.3\n",
    "alpha_t = 1.0\n",
    "thresh = 0.5\n",
    "v_rest = 0.0\n",
    "duration_refrac = 3\n",
    "voltage_decay = 0.8\n",
    "trace_decay = 0.8\n",
    "n_dynamics = (\n",
    "    thresh,\n",
    "    v_rest,\n",
    "    alpha_v,\n",
    "    alpha_t,\n",
    "    dt,\n",
    "    duration_refrac,\n",
    "    voltage_decay,\n",
    "    trace_decay,\n",
    ")\n",
    "n2_dynamics = (thresh * 2, *n_dynamics[1:])\n",
    "n_in_dynamics = (dt, alpha_t, trace_decay)\n",
    "batch_size = 1\n",
    "delay = 0\n",
    "c_dynamics = (batch_size, dt, delay)\n",
    "a_pre = 1.0\n",
    "a_post = 1.0\n",
    "lr = 0.1\n",
    "e_trace_decay = 0.8\n",
    "l_params = (a_pre, a_post, lr, e_trace_decay)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " ## Network definition\n",
    " The API is mostly the same aas for regular PyTorch. The main differences are that layers are composed of a Neuron and Connection type, and the layer has to be added to the network by calling the add_layer method. Lastly, all objects return both a spike (or activation potential) object and a trace object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "class SNN(SNNNetwork):\n",
    "    def __init__(self):\n",
    "        super(SNN, self).__init__()\n",
    "\n",
    "        # One layer\n",
    "        self.pre_neuron = LIFNeuron((batch_size, 1, inputs), *n_dynamics)\n",
    "        self.post_neuron = LIFNeuron((batch_size, 1, outputs), *n2_dynamics)\n",
    "        self.linear = Linear(*c_shape, *c_dynamics)\n",
    "        self.add_layer(\"layer1\", self.linear, self.post_neuron)\n",
    "\n",
    "    def forward(self, x):\n",
    "        pre_spikes, pre_trace = self.pre_neuron(x)\n",
    "        x, _ = self.linear(pre_spikes, pre_trace)\n",
    "        post_spikes, post_trace = self.post_neuron(x)\n",
    "\n",
    "        return pre_spikes, post_spikes, pre_trace, post_trace"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " ## Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feaad699c18>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "current = []\n",
    "pre_spikes = []\n",
    "post_spikes = []\n",
    "pre_trace = []\n",
    "post_trace = []\n",
    "rewards = []\n",
    "e_trace = []\n",
    "weight = []\n",
    "\n",
    "# Setup network\n",
    "network = SNN()\n",
    "network.linear.reset_weights(\"constant\", 3)\n",
    "\n",
    "# Determine layers and init learning rule\n",
    "layers = network.layer_state_dict()\n",
    "learning_rule = MSTDPET(layers, *l_params)\n",
    "\n",
    "for i in range(100):\n",
    "    # Generate input spikes\n",
    "    curr = (torch.rand(1, 1, 1) > 0.4).float()\n",
    "    current.append(curr.item())\n",
    "\n",
    "    # Do forward pass\n",
    "    pre_s, post_s, pre_t, post_t = network.forward(curr)\n",
    "    learning_rule.update_state()\n",
    "\n",
    "    # Append network spikes and traces\n",
    "    pre_spikes.append(pre_s.item())\n",
    "    post_spikes.append(post_s.item())\n",
    "    pre_trace.append(pre_t.item())\n",
    "    post_trace.append(post_t.item())\n",
    "\n",
    "    # Do backward/learning pass\n",
    "    if i < 50:\n",
    "        reward = 1.0\n",
    "    else:\n",
    "        reward = -1.0\n",
    "    learning_rule.step(reward)\n",
    "\n",
    "    # Append last resulting items\n",
    "    rewards.append(reward)\n",
    "    e_trace.append(learning_rule.layers[\"layer1\"][\"e_trace\"].item())\n",
    "    weight.append(network.linear.weight.item())\n",
    "\n",
    "# Reset states\n",
    "network.reset_state()\n",
    "learning_rule.reset_state()\n",
    "\n",
    "fig, axs = plt.subplots(8, 1, figsize=(10, 10))\n",
    "\n",
    "for ax, data in zip(\n",
    "    axs,\n",
    "    [\n",
    "        current,\n",
    "        pre_spikes,\n",
    "        post_spikes,\n",
    "        pre_trace,\n",
    "        post_trace,\n",
    "        rewards,\n",
    "        e_trace,\n",
    "        weight,\n",
    "    ],\n",
    "):\n",
    "    ax.plot(data)\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "file_extension": ".py",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  },
  "mimetype": "text/x-python",
  "name": "python",
  "npconvert_exporter": "python",
  "pygments_lexer": "ipython3",
  "version": 3
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
